Search a number
-
+
223399727975232 = 263219922733125939
BaseRepresentation
bin110010110010111001001101…
…011011011100101101000000
31002021222210202011001220211200
4302302321031123130231000
5213240140120330201412
62111044230200541200
765025045342331434
oct6262711533345500
91067883664056750
10223399727975232
11652003244721a6
1221080444a81800
139786672259533
143d24866b6a9c4
151ac621622c9dc
hexcb2e4d6dcb40

223399727975232 has 336 divisors, whose sum is σ = 648365610048000. Its totient is φ = 73540280816640.

The previous prime is 223399727975201. The next prime is 223399727975251. The reversal of 223399727975232 is 232579727993322.

223399727975232 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 9 + 9 + 7 + 2 + 7 + 97 + 523 + 2 = 666.

223399727975232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8612490519 + ... + 8612516457.

Almost surely, 2223399727975232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223399727975232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324182805024000).

223399727975232 is an abundant number, since it is smaller than the sum of its proper divisors (424965882072768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223399727975232 is a wasteful number, since it uses less digits than its factorization.

223399727975232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26714 (or 26701 counting only the distinct ones).

The product of its digits is 1080203040, while the sum is 72.

The spelling of 223399727975232 in words is "two hundred twenty-three trillion, three hundred ninety-nine billion, seven hundred twenty-seven million, nine hundred seventy-five thousand, two hundred thirty-two".